Systems - Graphing and Substitution

^{What is the solution?}

• (1,1)

• -2

• (1, 2)

• (1, -1)

This system has _____ solutions

• 0

• 1

• 2

• Infinite

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

Tags

CCSS.8.EE.C.8A

Parallel Lines never intersect because...

• they have the same slopes.

• they have the same y-intercept.

• they have different slopes.

• they have infinite solutions

Solve the system using Substitution:

y = 5

2x + y = 21

• (5,5)

• (5,8)

• (8,5)

• (-8,5)

Solve the system:
x + y = 19
y = 3x - 1

• (14, 5)
• (11, 8)
• (5, 14)
• (8, 11)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:
2x - 5y = 12
y = -2

• y = -2
• (11, -2)
• (1, -2)
• no solution

Tags

CCSS.HSA.REI.C.9

Solve:
y=8x+1
y=6x+3

• (1, 9)
• (4, 14)
• (0, 1)
• (2, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which graph shows the solution to the following system:
 $y=2x+1$  
 $y=-\frac{1}{2}x\ -2$  

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